A sharp oracle inequality for Graph-Slope

A Sharp Slope Inequality for General Stable Fibrations of Curves

Let Mg be the moduli space of stable curves of genus g ≥ 2. Let ∆i be the irreducible component of the boundary of Mg such that general points of ∆i correspond to stable curves with one node of type i. Let M 0 g be the set of stable curves that have at most one node of type i > 0. Let δi be the class of ∆i in Pic(Mg)⊗Q and λ the Hodge class onMg. In this paper, we will prove a sharp slope inequ...

Sharp oracle inequalities and slope heuristic for specification probabilities estimation in discrete random fields

a cauchy-schwarz type inequality for fuzzy integrals

نامساوی کوشی-شوارتز در حالت کلاسیک در فضای اندازه فازی برقرار نمی باشد اما با اعمال شرط هایی در مسئله مانند یکنوا بودن توابع و قرار گرفتن در بازه صفر ویک می توان دو نوع نامساوی کوشی-شوارتز را در فضای اندازه فازی اثبات نمود.

Sharp Oracle Inequalities for Square Root Regularization

We study a set of regularization methods for high-dimensional linear regression models. These penalized estimators have the square root of the residual sum of squared errors as loss function, and any weakly decomposable norm as penalty function. This fit measure is chosen because of its property that the estimator does not depend on the unknown standard deviation of the noise. On the other hand...

A Sharp Inequality for the Strichartz Norm

Let u : R × R → C be the solution of the linear Schrödinger equation